Answer: The word "BASKETBALL" has 2 B's and 3 vowels (A, E, A). The probability of choosing the letter B, not replacing it, and then choosing a vowel is:
(2/10) * (2/9) * (3/8) = 6/90 = 1/15
So, the probability of choosing the letter B, not replacing it, and then choosing a vowel is 1/15.
Explanation: